Transform + Calibration examples and factor
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/* ----------------------------------------------------------------------------
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* GTSAM Copyright 2010, Georgia Tech Research Corporation,
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* Atlanta, Georgia 30332-0415
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* All Rights Reserved
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* Authors: Frank Dellaert, et al. (see THANKS for the full author list)
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* See LICENSE for the license information
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* -------------------------------------------------------------------------- */
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/**
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* @file TransformCalProjectionFactor.h
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* @brief Basic bearing factor from 2D measurement
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* @author Chris Beall
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* @author Richard Roberts
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* @author Frank Dellaert
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* @author Alex Cunningham
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*/
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#pragma once
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#include <gtsam/nonlinear/NonlinearFactor.h>
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#include <gtsam/geometry/SimpleCamera.h>
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#include <boost/optional.hpp>
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namespace gtsam {
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/**
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* Non-linear factor for a constraint derived from a 2D measurement. The calibration is known here.
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* i.e. the main building block for visual SLAM.
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* @addtogroup SLAM
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*/
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template<class POSE, class LANDMARK, class CALIBRATION = Cal3_S2>
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class TransformCalProjectionFactor: public NoiseModelFactor4<POSE, POSE, LANDMARK, CALIBRATION> {
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protected:
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// Keep a copy of measurement and calibration for I/O
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Point2 measured_; ///< 2D measurement
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// verbosity handling for Cheirality Exceptions
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bool throwCheirality_; ///< If true, rethrows Cheirality exceptions (default: false)
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bool verboseCheirality_; ///< If true, prints text for Cheirality exceptions (default: false)
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public:
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/// shorthand for base class type
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typedef NoiseModelFactor4<POSE, POSE, LANDMARK, CALIBRATION> Base;
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/// shorthand for this class
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typedef TransformCalProjectionFactor<POSE, LANDMARK, CALIBRATION> This;
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/// shorthand for a smart pointer to a factor
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typedef boost::shared_ptr<This> shared_ptr;
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/// Default constructor
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TransformCalProjectionFactor() : throwCheirality_(false), verboseCheirality_(false) {}
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/**
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* Constructor
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* TODO: Mark argument order standard (keys, measurement, parameters)
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* @param measured is the 2 dimensional location of point in image (the measurement)
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* @param model is the standard deviation
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* @param poseKey is the index of the camera
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* @param pointKey is the index of the landmark
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* @param K shared pointer to the constant calibration
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*/
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TransformCalProjectionFactor(const Point2& measured, const SharedNoiseModel& model,
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Key poseKey, Key transformKey, Key pointKey, Key calibKey) :
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Base(model, poseKey, transformKey, pointKey, calibKey), measured_(measured),
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throwCheirality_(false), verboseCheirality_(false) {}
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/**
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* Constructor with exception-handling flags
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* TODO: Mark argument order standard (keys, measurement, parameters)
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* @param measured is the 2 dimensional location of point in image (the measurement)
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* @param model is the standard deviation
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* @param poseKey is the index of the camera
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* @param pointKey is the index of the landmark
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* @param K shared pointer to the constant calibration
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* @param throwCheirality determines whether Cheirality exceptions are rethrown
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* @param verboseCheirality determines whether exceptions are printed for Cheirality
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*/
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TransformCalProjectionFactor(const Point2& measured, const SharedNoiseModel& model,
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Key poseKey, Key transformKey, Key pointKey, Key calibKey,
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bool throwCheirality, bool verboseCheirality) :
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Base(model, poseKey, transformKey, pointKey, calibKey), measured_(measured),
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throwCheirality_(throwCheirality), verboseCheirality_(verboseCheirality) {}
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/** Virtual destructor */
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virtual ~TransformCalProjectionFactor() {}
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/// @return a deep copy of this factor
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virtual gtsam::NonlinearFactor::shared_ptr clone() const {
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return boost::static_pointer_cast<gtsam::NonlinearFactor>(
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gtsam::NonlinearFactor::shared_ptr(new This(*this))); }
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/**
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* print
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* @param s optional string naming the factor
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* @param keyFormatter optional formatter useful for printing Symbols
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*/
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void print(const std::string& s = "", const KeyFormatter& keyFormatter = DefaultKeyFormatter) const {
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std::cout << s << "TransformCalProjectionFactor, z = ";
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measured_.print();
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Base::print("", keyFormatter);
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}
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/// equals
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virtual bool equals(const NonlinearFactor& p, double tol = 1e-9) const {
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const This *e = dynamic_cast<const This*>(&p);
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return e
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&& Base::equals(p, tol)
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&& this->measured_.equals(e->measured_, tol);
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}
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/// Evaluate error h(x)-z and optionally derivatives
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Vector evaluateError(const Pose3& pose, const Pose3& transform, const Point3& point, const CALIBRATION& K,
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boost::optional<Matrix&> H1 = boost::none,
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boost::optional<Matrix&> H2 = boost::none,
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boost::optional<Matrix&> H3 = boost::none,
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boost::optional<Matrix&> H4 = boost::none) const {
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try {
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if(H1 || H2 || H3 || H4) {
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gtsam::Matrix H0, H02;
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PinholeCamera<CALIBRATION> camera(pose.compose(transform, H0, H02), K);
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Point2 reprojectionError(camera.project(point, H1, H3, H4) - measured_);
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*H2 = *H1 * H02;
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*H1 = *H1 * H0;
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return reprojectionError.vector();
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} else {
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PinholeCamera<CALIBRATION> camera(pose.compose(transform), K);
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Point2 reprojectionError(camera.project(point, H1, H3, H4) - measured_);
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return reprojectionError.vector();
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}
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} catch( CheiralityException& e) {
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if (H1) *H1 = zeros(2,6);
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if (H2) *H2 = zeros(2,6);
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if (H3) *H3 = zeros(2,3);
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if (H4) *H4 = zeros(2,CALIBRATION::Dim());
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if (verboseCheirality_)
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std::cout << e.what() << ": Landmark "<< DefaultKeyFormatter(this->key2()) <<
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" moved behind camera " << DefaultKeyFormatter(this->key1()) << std::endl;
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if (throwCheirality_)
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throw e;
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}
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return ones(2) * 2.0 * K.fx();
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}
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/** return the measurement */
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const Point2& measured() const {
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return measured_;
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}
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/** return verbosity */
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inline bool verboseCheirality() const { return verboseCheirality_; }
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/** return flag for throwing cheirality exceptions */
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inline bool throwCheirality() const { return throwCheirality_; }
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private:
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/// Serialization function
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friend class boost::serialization::access;
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template<class ARCHIVE>
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void serialize(ARCHIVE & ar, const unsigned int version) {
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ar & BOOST_SERIALIZATION_BASE_OBJECT_NVP(Base);
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ar & BOOST_SERIALIZATION_NVP(measured_);
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ar & BOOST_SERIALIZATION_NVP(throwCheirality_);
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ar & BOOST_SERIALIZATION_NVP(verboseCheirality_);
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}
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};
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} // \ namespace gtsam
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@ -0,0 +1,189 @@
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% GTSAM Copyright 2010, Georgia Tech Research Corporation,
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% Atlanta, Georgia 30332-0415
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% All Rights Reserved
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% Authors: Frank Dellaert, et al. (see THANKS for the full author list)
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%
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% See LICENSE for the license information
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%
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% @brief Read graph from file and perform GraphSLAM
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% @author Frank Dellaert
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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clear all;
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clc;
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import gtsam.*
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write_video = false;
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if(write_video)
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videoObj = VideoWriter('test.avi');
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videoObj.Quality = 100;
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videoObj.FrameRate = 2;
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open(videoObj);
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end
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%% generate some landmarks
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nrPoints = 8;
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landmarks = {Point3([20 15 1]'),...
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Point3([22 7 -1]'),...
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Point3([20 20 6]'),...
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Point3([24 19 -4]'),...
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Point3([26 17 -2]'),...
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Point3([12 15 4]'),...
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Point3([25 11 -6]'),...
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Point3([23 10 4]')};
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curvature = 5.0;
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transformKey = 1000;
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calibrationKey = 2000;
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fg = NonlinearFactorGraph;
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initial = Values;
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%% intial landmarks and camera trajectory shifted in + y-direction
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y_shift = Point3(0,1,0);
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% insert shifted points
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for i=1:nrPoints
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initial.insert(100+i,landmarks{i}.compose(y_shift));
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end
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figure(1);
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cla
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hold on;
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%% initial pose priors
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pose_cov = noiseModel.Diagonal.Sigmas([1*pi/180; 1*pi/180; 1*pi/180; 0.1; 0.1; 0.1]);
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fg.add(PriorFactorPose3(1, Pose3(),pose_cov));
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fg.add(PriorFactorPose3(2, Pose3(Rot3(),Point3(1,0,0)),pose_cov));
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%% Actual camera translation coincides with odometry, but -90deg Z-X rotation
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camera_transform = Pose3(Rot3.RzRyRx(-pi/2, 0, -pi/2),y_shift);
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actual_transform = Pose3(Rot3.RzRyRx(-pi/2, 0, -pi/2),Point3());
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initial.insert(transformKey,camera_transform);
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trans_cov = noiseModel.Diagonal.Sigmas([5*pi/180; 5*pi/180; 5*pi/180; 20; 20; 20]);
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fg.add(PriorFactorPose3(transformKey,camera_transform,trans_cov));
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%% insert poses
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initial.insert(1, Pose3());
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move_forward = Pose3(Rot3(),Point3(1,0,0));
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move_circle = Pose3(Rot3.RzRyRx(0.0,0.0,curvature*pi/180),Point3(1,0,0));
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covariance = noiseModel.Diagonal.Sigmas([5*pi/180; 5*pi/180; 5*pi/180; 0.05; 0.05; 0.05]);
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z_cov = noiseModel.Diagonal.Sigmas([1.0;1.0]);
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%% calibration initialization
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K = Cal3_S2(900,900,0,640,480);
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K_corrupt = Cal3_S2(910,890,0,650,470);
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initial.insert(2000, K_corrupt);
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K_cov = noiseModel.Diagonal.Sigmas([20; 20; 0.001; 20; 20]);
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fg.add(PriorFactorCal3_S2(calibrationKey,K_corrupt,K_cov));
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cheirality_exception_count = 0;
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isamParams = gtsam.ISAM2Params;
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isamParams.setFactorization('QR');
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isam = ISAM2(isamParams);
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result = initial
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for i=1:20
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if i > 1
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if i < 11
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initial.insert(i,result.at(i-1).compose(move_forward));
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fg.add(BetweenFactorPose3(i-1,i, move_forward, covariance));
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else
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initial.insert(i,result.at(i-1).compose(move_circle));
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fg.add(BetweenFactorPose3(i-1,i, move_circle, covariance));
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end
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end
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% generate some camera measurements
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cam_pose = initial.at(i).compose(actual_transform);
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% gtsam.plotPose3(cam_pose);
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cam = SimpleCamera(cam_pose,K);
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i
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% result
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for j=1:nrPoints
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% All landmarks seen in every frame
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try
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z = cam.project(landmarks{j});
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fg.add(TransformCalProjectionFactorCal3_S2(z, z_cov, i, transformKey, 100+j, calibrationKey));
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catch
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cheirality_exception_count = cheirality_exception_count + 1;
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end % end try/catch
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end
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if i > 2
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disp('ISAM Update');
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isam.update(fg, initial);
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result = isam.calculateEstimate();
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%% reset
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initial = Values;
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fg = NonlinearFactorGraph;
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end
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hold off;
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clf;
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hold on;
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%% plot results
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result_camera_transform = result.at(transformKey);
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for j=1:i
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gtsam.plotPose3(result.at(j),[],0.5);
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gtsam.plotPose3(result.at(j).compose(result_camera_transform),[],0.5);
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end
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xlabel('x (m)');
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ylabel('y (m)');
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title(sprintf('Curvature %g deg, iteration %g', curvature, i));
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axis([0 20 0 20 -10 10]);
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view(-37,40);
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% axis equal
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for l=101:100+nrPoints
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plotPoint3(result.at(l),'g');
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end
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ty = result.at(transformKey).translation().y();
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fx = result.at(calibrationKey).fx();
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fy = result.at(calibrationKey).fy();
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text(1,5,5,sprintf('Y-Transform(0.0): %0.2f',ty));
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text(1,5,3,sprintf('fx(900): %.0f',fx));
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text(1,5,1,sprintf('fy(900): %.0f',fy));
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if(write_video)
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currFrame = getframe(gcf);
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writeVideo(videoObj, currFrame)
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else
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pause(0.1);
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end
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end
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if(write_video)
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close(videoObj);
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end
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fprintf('Cheirality Exception count: %d\n', cheirality_exception_count);
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disp('Transform after optimization');
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result.at(transformKey)
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disp('Calibration after optimization');
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result.at(calibrationKey)
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@ -0,0 +1,120 @@
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% GTSAM Copyright 2010, Georgia Tech Research Corporation,
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% Atlanta, Georgia 30332-0415
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% All Rights Reserved
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% Authors: Frank Dellaert, et al. (see THANKS for the full author list)
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%
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% See LICENSE for the license information
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%
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% @brief Read graph from file and perform GraphSLAM
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% @author Frank Dellaert
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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clear all;
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clc;
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import gtsam.*
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%% generate some landmarks
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nrPoints = 8;
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landmarks = {Point3([20 15 1]'),...
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Point3([22 7 1]'),...
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Point3([20 20 6]'),...
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Point3([24 19 4]'),...
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Point3([26 17 2]'),...
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Point3([12 15 4]'),...
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Point3([25 11 6]'),...
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Point3([23 10 4]')};
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fg = NonlinearFactorGraph;
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fg.add(NonlinearEqualityPose3(1, Pose3()));
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initial = Values;
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%% intial landmarks and camera trajectory shifted in + y-direction
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y_shift = Point3(0,1,0);
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% insert shifted points
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for i=1:nrPoints
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initial.insert(100+i,landmarks{i}.compose(y_shift));
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end
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figure(1);
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cla
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hold on;
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plot3DPoints(initial);
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%% Actual camera translation coincides with odometry, but -90deg Z-X rotation
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camera_transform = Pose3(Rot3.RzRyRx(-pi/2, 0, -pi/2),y_shift);
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actual_transform = Pose3(Rot3.RzRyRx(-pi/2, 0, -pi/2),Point3());
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initial.insert(1000,camera_transform);
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%% insert poses
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initial.insert(1, Pose3());
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move_forward = Pose3(Rot3(),Point3(1,0,0));
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move_circle = Pose3(Rot3.RzRyRx(0.0,0.0,0.2),Point3(1,0,0));
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covariance = noiseModel.Diagonal.Sigmas([5*pi/180; 5*pi/180; 5*pi/180; 0.05; 0.05; 0.05]);
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z_cov = noiseModel.Diagonal.Sigmas([1.0;1.0]);
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K = Cal3_S2(900,900,0,640,480);
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cheirality_exception_count = 0;
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for i=1:20
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if i > 1
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if i < 11
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initial.insert(i,initial.at(i-1).compose(move_forward));
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fg.add(BetweenFactorPose3(i-1,i, move_forward, covariance));
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else
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initial.insert(i,initial.at(i-1).compose(move_circle));
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fg.add(BetweenFactorPose3(i-1,i, move_circle, covariance));
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end
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end
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% generate some camera measurements
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cam_pose = initial.at(i).compose(actual_transform);
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gtsam.plotPose3(cam_pose);
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cam = SimpleCamera(cam_pose,K);
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i
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for j=1:nrPoints
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% All landmarks seen in every frame
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try
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z = cam.project(landmarks{j});
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fg.add(TransformProjectionFactorCal3_S2(z, z_cov, i, 1000, 100+j, K));
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catch
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cheirality_exception_count = cheirality_exception_count + 1;
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end % end try/catch
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end
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end
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fprintf('Cheirality Exception count: %d\n', cheirality_exception_count);
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% plot3DTrajectory(initial, 'g-*');
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%% camera plotting
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for i=1:20
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gtsam.plotPose3(initial.at(i).compose(camera_transform));
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end
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xlabel('x (m)');
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ylabel('y (m)');
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disp('Transform before optimization');
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initial.at(1000)
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params = LevenbergMarquardtParams;
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params.setAbsoluteErrorTol(1e-15);
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params.setRelativeErrorTol(1e-15);
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params.setVerbosity('ERROR');
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params.setVerbosityLM('VERBOSE');
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|
||||
optimizer = LevenbergMarquardtOptimizer(fg, initial, params);
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||||
result = optimizer.optimizeSafely();
|
||||
|
||||
disp('Transform after optimization');
|
||||
result.at(1000)
|
||||
|
||||
axis([0 25 0 25 0 10]);
|
||||
axis equal
|
||||
view(-37,40)
|
||||
|
|
@ -0,0 +1,174 @@
|
|||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% GTSAM Copyright 2010, Georgia Tech Research Corporation,
|
||||
% Atlanta, Georgia 30332-0415
|
||||
% All Rights Reserved
|
||||
% Authors: Frank Dellaert, et al. (see THANKS for the full author list)
|
||||
%
|
||||
% See LICENSE for the license information
|
||||
%
|
||||
% @brief Read graph from file and perform GraphSLAM
|
||||
% @author Frank Dellaert
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
clear all;
|
||||
clc;
|
||||
import gtsam.*
|
||||
|
||||
write_video = true;
|
||||
|
||||
if(write_video)
|
||||
videoObj = VideoWriter('test.avi');
|
||||
videoObj.Quality = 100;
|
||||
videoObj.FrameRate = 2;
|
||||
open(videoObj);
|
||||
end
|
||||
|
||||
%% generate some landmarks
|
||||
nrPoints = 8;
|
||||
landmarks = {Point3([20 15 1]'),...
|
||||
Point3([22 7 -1]'),...
|
||||
Point3([20 20 6]'),...
|
||||
Point3([24 19 -4]'),...
|
||||
Point3([26 17 -2]'),...
|
||||
Point3([12 15 4]'),...
|
||||
Point3([25 11 -6]'),...
|
||||
Point3([23 10 4]')};
|
||||
|
||||
fg = NonlinearFactorGraph;
|
||||
pose_cov = noiseModel.Diagonal.Sigmas([1*pi/180; 1*pi/180; 1*pi/180; 0.1; 0.1; 0.1]);
|
||||
fg.add(PriorFactorPose3(1, Pose3(),pose_cov));
|
||||
fg.add(PriorFactorPose3(2, Pose3(Rot3(),Point3(1,0,0)),pose_cov));
|
||||
|
||||
curvature = 0.5;
|
||||
|
||||
initial = Values;
|
||||
|
||||
%% intial landmarks and camera trajectory shifted in + y-direction
|
||||
y_shift = Point3(0,1,0);
|
||||
|
||||
% insert shifted points
|
||||
for i=1:nrPoints
|
||||
initial.insert(100+i,landmarks{i}.compose(y_shift));
|
||||
end
|
||||
|
||||
figure(1);
|
||||
cla
|
||||
hold on;
|
||||
|
||||
|
||||
%% Actual camera translation coincides with odometry, but -90deg Z-X rotation
|
||||
camera_transform = Pose3(Rot3.RzRyRx(-pi/2, 0, -pi/2),y_shift);
|
||||
actual_transform = Pose3(Rot3.RzRyRx(-pi/2, 0, -pi/2),Point3());
|
||||
initial.insert(1000,camera_transform);
|
||||
|
||||
trans_cov = noiseModel.Diagonal.Sigmas([5*pi/180; 5*pi/180; 5*pi/180; 20; 20; 20]);
|
||||
fg.add(PriorFactorPose3(1000,camera_transform,trans_cov));
|
||||
|
||||
|
||||
%% insert poses
|
||||
initial.insert(1, Pose3());
|
||||
|
||||
|
||||
move_forward = Pose3(Rot3(),Point3(1,0,0));
|
||||
move_circle = Pose3(Rot3.RzRyRx(0.0,0.0,curvature*pi/180),Point3(1,0,0));
|
||||
covariance = noiseModel.Diagonal.Sigmas([5*pi/180; 5*pi/180; 5*pi/180; 0.05; 0.05; 0.05]);
|
||||
z_cov = noiseModel.Diagonal.Sigmas([1.0;1.0]);
|
||||
|
||||
K = Cal3_S2(900,900,0,640,480);
|
||||
cheirality_exception_count = 0;
|
||||
|
||||
isamParams = gtsam.ISAM2Params;
|
||||
isamParams.setFactorization('QR');
|
||||
isam = ISAM2(isamParams);
|
||||
|
||||
result = initial
|
||||
|
||||
for i=1:20
|
||||
|
||||
if i > 1
|
||||
if i < 11
|
||||
initial.insert(i,result.at(i-1).compose(move_forward));
|
||||
fg.add(BetweenFactorPose3(i-1,i, move_forward, covariance));
|
||||
else
|
||||
initial.insert(i,result.at(i-1).compose(move_circle));
|
||||
fg.add(BetweenFactorPose3(i-1,i, move_circle, covariance));
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
% generate some camera measurements
|
||||
cam_pose = initial.at(i).compose(actual_transform);
|
||||
% gtsam.plotPose3(cam_pose);
|
||||
cam = SimpleCamera(cam_pose,K);
|
||||
i
|
||||
% result
|
||||
for j=1:nrPoints
|
||||
% All landmarks seen in every frame
|
||||
try
|
||||
z = cam.project(landmarks{j});
|
||||
fg.add(TransformProjectionFactorCal3_S2(z, z_cov, i, 1000, 100+j, K));
|
||||
catch
|
||||
cheirality_exception_count = cheirality_exception_count + 1;
|
||||
end % end try/catch
|
||||
end
|
||||
|
||||
if i > 2
|
||||
disp('ISAM Update');
|
||||
isam.update(fg, initial);
|
||||
result = isam.calculateEstimate();
|
||||
|
||||
%% reset
|
||||
initial = Values;
|
||||
fg = NonlinearFactorGraph;
|
||||
end
|
||||
|
||||
hold off;
|
||||
|
||||
clf;
|
||||
hold on;
|
||||
|
||||
%% plot results
|
||||
result_camera_transform = result.at(1000);
|
||||
for j=1:i
|
||||
gtsam.plotPose3(result.at(j));
|
||||
gtsam.plotPose3(result.at(j).compose(result_camera_transform),[],0.5);
|
||||
end
|
||||
|
||||
xlabel('x (m)');
|
||||
ylabel('y (m)');
|
||||
|
||||
title(sprintf('Curvature %g deg, iteration %g', curvature, i));
|
||||
|
||||
axis([0 20 0 20 -10 10]);
|
||||
view(-37,40);
|
||||
% axis equal
|
||||
|
||||
for l=101:100+nrPoints
|
||||
plotPoint3(result.at(l),'g');
|
||||
end
|
||||
|
||||
ty = result.at(1000).translation().y();
|
||||
text(5,5,5,sprintf('Y-Transform: %0.2g',ty));
|
||||
|
||||
if(write_video)
|
||||
currFrame = getframe(gcf);
|
||||
writeVideo(videoObj, currFrame)
|
||||
else
|
||||
pause(0.001);
|
||||
end
|
||||
|
||||
|
||||
end
|
||||
|
||||
if(write_video)
|
||||
close(videoObj);
|
||||
end
|
||||
|
||||
fprintf('Cheirality Exception count: %d\n', cheirality_exception_count);
|
||||
|
||||
|
||||
|
||||
disp('Transform after optimization');
|
||||
result.at(1000)
|
||||
|
||||
|
||||
|
Loading…
Reference in New Issue